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Two Pulleys with two acceleration and two tensions (Diagram included)

  1. Mar 10, 2012 #1
    pulley

    1. The problem statement, all variables and given/known data
    Two masses are attached together by means of light inextensible strings and light frictionless pulleys as shown in the diagram. The system is released and the upper block slides along the table. The coefficient of friction between this block and the table is 0.32. Calculate the magnitude of the tensions (T1 and T2) and accelerations while the blocks are acceleration.
    http://content.screencast.com/users/Waraa/folders/Snagit/media/bc6a12fc-dd79-4db6-91a4-1057f75aca6e/03.10.2012-15.11.45.png [Broken]


    2. Relevant equations
    (1) m1a1 = T1 - μmg
    (2) m2aa = m2g - T2
    (3) 2T1 = T2
    (4) 2a2 = a1


    3. The attempt at a solution
    T1 = 113.7N
    T2 = 196N

    (1) + (2) + (3) + (4)
    m1a1 + m2aa + 2T1 + 2a2 = T1 - μmg + m2g - T2 + T2 + a1
    2a2 = T1 - μmg + m2g + a1

    I'm stuck right there. Am I even doing it right?
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Mar 10, 2012 #2

    tiny-tim

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    Science Advisor
    Homework Helper

    Hi Wara! :wink:
    Fine so far! :smile:

    ok, now you should substitute for a2 and T2 from (3) and (4) into (2):

    (1) m1a1 = T1 - μmg
    (2) m2a1/2 = m2g - 2T1

    then eliminate T1 :wink:
     
    Last edited by a moderator: May 5, 2017
  4. Mar 10, 2012 #3
    Thank you so much.
     
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